File:Grovers algorithm.svg

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Summary

Description Grover's algorithm where is an oracle function that returns 1 iff the input maps to a "marked" element (i.e. is an element that we are looking for). The number of qubits is n and the number of elements being searched is .
Source Created in LaTeX code using Q-circuit. Source code follows this template.
Author Bender2k14
\documentclass[11pt]{article}
\input{Qcircuit}
\thispagestyle{empty}
\begin{document}
\begin{align*}
 \Qcircuit @C=1em @R=.7em {
                   &         &                      &                         &                      & \ustick{\text{Grover diffusion operator}} \\
  \lstick{\ket{0}} & /^n \qw & \gate{H^{\otimes n}} & \multigate{1}{U_\omega} & \gate{H^{\otimes n}} & \gate{2 \ket{0^n}\bra{0^n} - I_n}         & \gate{H^{\otimes n}} & \qw & \cdots & & \meter & \cw \\
  \lstick{\ket{1}} & \qw     & \gate{H}             & \ghost{U_\omega}        & \qw                  & \qw                                       & \qw                  & \qw & \cdots & \\
                   &         &                      &                         &                      & \dstick{\text{Repeat $O(\sqrt{N})$ times}}
  \gategroup{2}{5}{2}{7}{.7em}{^\}}
  \gategroup{2}{4}{3}{10}{.7em}{_\}}
 }
\end{align*}
\end{document}

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Date/TimeThumbnailDimensionsUserComment
current22:26, 20 February 2011Thumbnail for version as of 22:26, 20 February 2011436 × 117 (65 KB)Jean-Christophe BENOIST{{Information |Description= Algorithme de Grover |Source= http://en.wikipedia.org/wiki/File:Grovers_algorithm.svg |Date= |Author= Bender2k14 |Permission= |other_versions= }}
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